On vector-valued Fourier multiplier theorems
Frank Zimmermann (1989)
Studia Mathematica
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Frank Zimmermann (1989)
Studia Mathematica
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Okuyama, Yasuo (1983-1984)
Portugaliae mathematica
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Roman Taberski (1984)
Studia Mathematica
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Siddiqi, Rafat N. (1979)
Portugaliae mathematica
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R. Taberski (1979)
Banach Center Publications
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B. N. Varma (1969)
Rendiconti del Seminario Matematico della Università di Padova
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T. Godoy, L. Saal, M. Urciuolo (1997)
Colloquium Mathematicae
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Let m: ℝ → ℝ be a function of bounded variation. We prove the -boundedness, 1 < p < ∞, of the one-dimensional integral operator defined by where for a family of functions satisfying conditions (1.1)-(1.3) given below.
G. Gát (1998)
Studia Mathematica
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Let G be the Walsh group. For we prove the a. e. convergence σf → f(n → ∞), where is the nth (C,1) mean of f with respect to the Walsh-Kaczmarz system. Define the maximal operator We prove that σ* is of type (p,p) for all 1 < p ≤ ∞ and of weak type (1,1). Moreover, , where H is the Hardy space on the Walsh group.
Daniel Waterman (1972)
Studia Mathematica
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Bruce Aubertin, John Fournier (1993)
Studia Mathematica
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We show that, if the coefficients (an) in a series tend to 0 as n → ∞ and satisfy the regularity condition that , then the cosine series represents an integrable function on the interval [-π,π]. We also show that, if the coefficients (bn) in a series tend to 0 and satisfy the corresponding regularity condition, then the sine series represents an integrable function on [-π,π] if and only if . These conclusions were previously known to hold under stronger restrictions on the sizes...
Rajendra Sinha (1976)
Studia Mathematica
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